AP EAPCET 20-Aug-2021 Shift 1 Paper

Let,
Time period =T
Length of simple pendulum =l
Acceleration due to gravity =g
∵T=2π√

l

g

...(i)
When sphere is fully filled with water, centre of mass lies at centre.
Case I For, water level below centre of sphere
l1>l0 ...(ii)
Case II For empty sphere,
$l=l_{0} ∴ From Eqs. (i), (ii) and (iii)
In case I, time period increase.
In case II, time period decrease.